The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t+1) \mathrm{s}$ are $125 \mathrm{~m}$ and $50 \mathrm{~m} / \mathrm{s}$, respectively. The distance travelled by the particle in $(\mathrm{t}+2)^{\mathrm{th}} \mathrm{s}$ is__________ $\mathrm{m}$.
- [JEE MAIN 2024]
- A$24$
- B$175$
- C$458$
- D$157$
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- [AIEEE 2004]